Higher order networked sliding mode controller for heat exchanger connected via data communication network

Abstract Heat Exchanger (HE) is a widely used device in industrial applications for both cooling and heating processes because it can sustain a wide range of temperature and pressure parameters without affecting the output performance of the system. In this paper, we propose a Higher-Order Sliding Mode (HOSM) controller for HE connected via a data communication network. The higher-order sliding mode controller is well known for chattering attenuation which occurs due to switching control action in a sliding mode control technique. The HOSM controller based on super-twisting algorithm is proposed to compensate for the random communication network delay and process delay in the presence of model uncertainties of HE. The sufficient condition for stability is ensured by the trivial Lyapunov function. The simulation results demonstrate the efficacy of the designed controller for the HE in terms of chattering, delay compensation, and faster convergence. Further, the performance of HE is compared in two ways. In first case, the proposed controller performance is compared for a HE system with network delay and without network delay. In the second case, the performance of the proposed controller is compared with the conventional constant plus proportional rate reaching law based controller.

[1]  Ramon Vilanova,et al.  IMC based Robust PID design: Tuning guidelines and automatic tuning , 2008 .

[2]  Michal Fratczak,et al.  Practical validation of the effective control of liquid-liquid heat exchangers by distributed parameter balance-based adaptive controller , 2018 .

[3]  M. Chidambaram,et al.  Non-linear controllers for a heat exchanger , 1992 .

[4]  Wandong Zheng,et al.  State space model and robust control of plate heat exchanger for dynamic performance improvement , 2018 .

[5]  Salam K. Al-Dawery,et al.  Dynamic modeling and control of plate heat exchanger , 2012 .

[6]  Anna Vasičkaninová,et al.  Application of H2 and H8 Approaches Applied to the Robust Controller Design for a Heat Exchanger , 2013 .

[7]  Enes Makalic,et al.  Universal Models for the Exponential Distribution , 2009, IEEE Transactions on Information Theory.

[8]  Vladimir Bobal,et al.  Possible Approaches Of Disturbance Compensation Of Time-Delayed Systems Using Predictive Control , 2015, ECMS.

[9]  Juraj Oravec,et al.  Experimental investigation of alternative robust model predictive control of a heat exchanger , 2016 .

[10]  Libor Pekař,et al.  Algebraic robust control of a closed circuit heating-cooling system with a heat exchanger and internal loop delays , 2017 .

[11]  Jaime A. Moreno,et al.  Strict Lyapunov Functions for the Super-Twisting Algorithm , 2012, IEEE Transactions on Automatic Control.

[12]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

[13]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[14]  Asif Chalanga,et al.  A New Algorithm for Continuous Sliding Mode Control With Implementation to Industrial Emulator Setup , 2015, IEEE/ASME Transactions on Mechatronics.

[15]  D. H. Shah,et al.  Design of sliding mode control for quadruple-tank MIMO process with time delay compensation , 2019, Journal of Process Control.

[16]  Ligang Wu,et al.  Adaptive Fuzzy Control for Nonlinear Networked Control Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Naif B. Almutairi,et al.  Control of a Plate Heat Exchanger Using the Terminal Sliding Mode Technique , 2012 .

[18]  Tanmoy Dasgupta,et al.  Design of a novel adaptive variable structure control law for industrial heat exchanger process representing a class of non minimum process plant , 2016, 2016 IEEE Uttar Pradesh Section International Conference on Electrical, Computer and Electronics Engineering (UPCON).

[19]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[20]  Martin Horn,et al.  Model-based control of hydraulic heat distribution systems — Theory and application , 2020 .

[21]  Subhransu Padhee,et al.  Controller Design for Temperature Control of Heat Exchanger System : Simulation Studies , 2014 .

[22]  Andreas Kugi,et al.  Model based control of compact heat exchangers independent of the heat transfer behavior , 2014 .

[23]  Peter Harriott,et al.  Process Control , 1964 .

[24]  Robert W. Serth,et al.  Process Heat Transfer: Principles, Applications and Rules of Thumb , 2007 .

[25]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[26]  Sergiu-Dan Stan,et al.  Applications of a model based predictive control to heat-exchangers , 2007, 2007 Mediterranean Conference on Control & Automation.

[27]  Petr Dostál,et al.  LQ Control Of Heat Exchanger - Design And Simulation , 2015, ECMS.

[28]  Subhransu Padhee,et al.  Parametric system identification and robust controller design for liquid–liquid heat exchanger system , 2018, IET Control Theory & Applications.

[29]  E.F. Camacho,et al.  Application of a predictive sliding mode controller to a heat exchanger , 2002, Proceedings of the International Conference on Control Applications.

[30]  Jaroslav Hlava,et al.  Anisochronic internal model control of time-delay systems , 2001 .

[31]  Marian Trafczynski,et al.  Robust model predictive control and PID control of shell-and-tube heat exchangers , 2018, Energy.

[32]  A. Vasickaninova,et al.  Robust controller design for a heat exchanger , 2015, 2015 20th International Conference on Process Control (PC).

[33]  Richárd Kicsiny,et al.  New delay differential equation models for heating systems with pipes , 2014 .

[34]  Isaac Chairez,et al.  Control of discrete time systems based on recurrent Super-Twisting-like algorithm. , 2016, ISA transactions.

[35]  Axaykumar Mehta,et al.  Preliminaries of Sliding Mode Control and Networked Control System , 2018 .

[36]  Juraj Oravec,et al.  Robust Model Predictive Control Based on Nominal System Optimization and Control Input Saturation , 2015 .

[37]  John C. Butcher Order and stability of generalized Padé approximations , 2009 .

[38]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[39]  Eduardo F. Camacho,et al.  Implementation of min–max MPC using hinging hyperplanes. Application to a heat exchanger ☆ , 2004 .

[40]  Jaime A. Moreno,et al.  A Lyapunov approach to second-order sliding mode controllers and observers , 2008, 2008 47th IEEE Conference on Decision and Control.

[41]  Yiheng Wei,et al.  A generalized Padé approximation of time delay operator , 2016 .

[42]  Dipesh Shah,et al.  Discrete-time sliding mode controller subject to real-time fractional delays and packet losses for networked control system , 2017 .

[43]  Oscar Camacho,et al.  Variable structure control applied to chemical processes with inverse response , 1999 .

[44]  S. V. Emel'yanov,et al.  High-order sliding modes in control systems , 1996 .